Benson Farb

Geometry and Topology · 2000–2014

A researcher in the Science corpus: 19 papers; trusts 85 researchers and is trusted by 51 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 168 citations into it; #206 of 7,422 by trust here, #137 by citations
• Mathematical Physics — 145 citations into it; #369 of 8,562 by trust here, #328 by citations
• Discrete Mathematics and Combinatorics — 48 citations into it; #296 of 2,017 by trust here, #210 by citations
• Algebra and Number Theory — 29 citations into it
• Computational Theory and Mathematics — 29 citations into it; #934 of 12,182 by trust here, #1,212 by citations
• Applied Mathematics — 14 citations into it; #1,944 of 7,620 by trust here, #1,901 by citations
• Computational Mathematics — 5 citations into it

Whom Benson Farb trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Thomas Church
2. Tara E. Brendle
3. Curtis T. McMullen
4. H. Endo
5. Kazuo Habiro
6. Jenny Wilson
7. Dany Margalit
8. I. Madsen
9. Maryam Mirzakhani
10. Shigeyuki Morita

Who trusts Benson Farb overall

1. Jason A. Behrstock
2. Andrew Putman
3. Jenny Wilson
4. Thomas Church
5. Samuel J. Taylor
6. Wen-yuan Yang
7. A. Eskin
8. D. Fisher
9. Steven V. Sam
10. Lee Mosher

Papers from Benson Farb's perspective

Ordered by how strongly the researchers Benson Farb trusts endorse each paper. Same corpus, a different order for every researcher.

1. Representation theory and homological stability
2. FI-modules: a new approach to stability for S_n-representations
3. Rank-1 phenomena for mapping class groups
4. Stable homology of automorphism groups of free groups
5. Erratum to: Homology stability for outer automorphism groups of free groups
6. Diagram spaces and symmetric spectra
7. The stable moduli space of Riemann surfaces: Mumford's conjecture
8. Introduction to twisted commutative algebras
9. REPRESENTATION THEORY IN COMPLEX RANK, I (Transformation groups)
10. Meyer's signature cocycle and hyperelliptic fibrations

Their papers

• Rank-1 phenomena for mapping class groups (2001) — 112 citations
• Representation theory and homological stability (2010) — 277 citations
• Convex cocompact subgroups of mapping class groups (2001) — 167 citations
• Every mapping class group is generated by 6 involutions (2003) — 48 citations
• Representation Stability (2014) — 49 citations
• The lower central series and pseudo-Anosov dilatations (2006) — 59 citations
• Group actions and Helly's theorem (2008) — 53 citations
• Representation stability in cohomology and asymptotics for families of varieties over finite fields (2013) — 81 citations
• FI-modules and stability for representations of symmetric groups (2012) — 444 citations
• FI-modules over Noetherian rings (2012) — 189 citations
• FI-modules: a new approach to stability for S_n-representations (2012) — 50 citations
• A Primer on Mapping Class Groups (Pms-49) (2011) — 990 citations
• Some problems on mapping class groups and moduli space (2006) — 125 citations
• Problems on Mapping Class Groups And Related Topics (2006) — 50 citations
• The Torelli geometry and its applications (2003) — 71 citations
• Groups of homeomorphisms of one-manifolds III: nilpotent subgroups (2001) — 81 citations
• Curvature and rank of Teichmüller space (2001) — 95 citations
• The Degree Theorem in Higher Rank (2001) — 47 citations
• On the asymptotic geometry of abelian-by-cyclic groups (2000) — 91 citations